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Finding the Fourth Proportional to 7,620, 10,502.64 and 6,289.44

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Solution

The fourth proportional to 7,620, 10,502.64 and 6,289.44 is: 8,668.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,620 : 10,502.64 = 6,289.44 : x
  2. Step 2: Convert to fraction form
    7,620/10,502.64 = 6,289.44/x
  3. Step 3: Cross multiply
    7,620x = 10,502.64 × 6,289.44
  4. Step 4: Simplify right side
    7,620x = 66,055,724.12
  5. Step 5: Solve for x
    x = 66,055,724.12/7,620
  6. Step 6: Final answer
    x = 8,668.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.